Theorems · Theorem · real analysis
HasDerivWithinAt.cpow_const
∀ {f : ℂ → ℂ} {s : Set ℂ} {f' x c : ℂ},
HasDerivWithinAt f f' s x → f x ∈ Complex.slitPlane → HasDerivWithinAt (fun x => f x ^ c) (c * f x ^ (c - 1) * f') s x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Complexstatement and proof · cited by 5,565
- HasDerivWithinAtstatement and proof · cited by 333
- Complex.slitPlanestatement and proof · cited by 113
- HasStrictDerivAt.hasDerivAtproof · cited by 52
- HasDerivAt.comp_hasDerivWithinAtproof · cited by 21
- Complex.hasStrictDerivAt_cpow_constproof · cited by 5
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